We have to identify the transformations that take △ABC to △A"B"C".
The first transformation takes △ABC to △A'B'C'. We can see that the triangle is reflected over the x-axis (horizontal axis).
For example, as C is located on the x-axis, C' is also located on the x-axis. For A and B, its vertical coordinates change sign but mantain its absolute value.
We can write this transformation as:
This transformation shows that the horizontal coordinates are mantained and the vertical coordinates have their sign inverted.
The second transformation is a translation. The orientation stays the same but the points are translated a fixed number of units in both the horizontal and vertical direction.
We can take any point and its transformed point and compare its coordinates. For example B'' is 6 units to the right and 2 units up.
Then, we can write:
We can generalize this to the rule:
as the x-coordinate will increase 6 units and the y-coordinate will increase 2 units.
Answer: the transformations are a reflection over the horizontal axis (y=0) and a translation of (x+6,y+2) [First option].
Using a calculator, we see that
-1/2 = -0.5
-1/3 = -0.333 approximately
So saying "some number between -1/2 and -1/3" is roughly the same as saying "some number between "-0.5 and -0.333". Choice A can be ruled out because -0.53 is not between -0.5 and -0.333. Choice B can be eliminated for similar reasons. The same story happens with choice D as well.
The only possible answer is choice C. The values -0.4 and -0.454545... are between -0.5 and -0.333... so that helps confirm the answer
It would be 40,000 cm because 2 meters = 200 cm and 200*200 = 40,000
Answer:
The tip that Joey left was $ 5.85.
Step-by-step explanation:
Given that Joey ate brunch at a restaurant, and the bill came to $ 39, to determine, if he left a 15% tip, how much was the value of it, the following calculation should be performed:
39 x 15/100 = X
585/100 = X
5.85 = X
So, the tip that Joey left was $ 5.85.
Answer:
b, d, e, g are the points